105583106242400 has 144 divisors (see below), whose sum is σ = 262179769420800. Its totient is φ = 41508509698560.

The previous prime is 105583106242351. The next prime is 105583106242477. The reversal of 105583106242400 is 4242601385501.

It is a super-2 number, since 2×105583106242400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221743781 + ... + 222219419.

It is an arithmetic number, because the mean of its divisors is an integer number (1820692843200).

Almost surely, 2^{105583106242400} is an apocalyptic number.

105583106242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105583106242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131089884710400).

105583106242400 is an abundant number, since it is smaller than the sum of its proper divisors (156596663178400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105583106242400 is a wasteful number, since it uses less digits than its factorization.

105583106242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480421 (or 480408 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 105583106242400 in words is "one hundred five trillion, five hundred eighty-three billion, one hundred six million, two hundred forty-two thousand, four hundred".